SOLUTION: NoffCo theater contains 5000 seats that are sold. Ticket prices for a recent performance were $50 for adults and $25 for children. If the proceeds totaled $192,500, how many adu

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: NoffCo theater contains 5000 seats that are sold. Ticket prices for a recent performance were $50 for adults and $25 for children. If the proceeds totaled $192,500, how many adu      Log On

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Question 1110609: NoffCo theater contains 5000 seats that are sold. Ticket prices for a recent performance were $50 for adults and $25 for children. If the proceeds totaled $192,500, how many adults and how many children were there?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
NoffCo theater contains 5000 seats that are sold. Ticket prices for a recent performance were $50 for adults and $25 for children. If the proceeds totaled $192,500, how many adults and how many children were there?
a + c = 5000 tickets
50a + 25c = 192,500 dollars
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25a + 25c = 25*5000
25a + 12.5c = 96250
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12.5c = 28750
c = 2300 (# of child tickets sold)
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a = 5000-2300 = 2700 (# of adult tickets sold)
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Cheers,
Stan H.
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